Answer in Details
During menstruation, many traditions recommend refraining from elaborate puja or entering the temple area, primarily out of respect for customs rather than any restriction from Lord Shiva himself. You have maintained the vrat (fast) and kept your mind focused on Shiva, which is considered virtuous. Washing your hair and maintaining cleanliness is sufficient.
Lord Shiva is compassionate and looks at the purity of your heart, not external circumstances. You can continue your vrat, and if you wish, you can recite Shiva mantras, listen to Shiva bhajans, or meditate on Shiva without performing the physical puja. Your devotion is what matters most.
Om Namah Shivaya.